Date: Mar 18, 2013 1:09 PM
Author: fom
Subject: Re: Matheology § 224
On 3/18/2013 7:29 AM, WM wrote:>> Every list yields another diagonal.> And every diagonal can be included in another list.>> Both these facts are the two sides of infinity.

What these facts correspond with is thestructure of a directed set.

Directed sets are, indeed, infinite.

Absolute infinity cannot be treated asa number.

That does not mean one cannot have atransfinite arithmetic.

<snip>

> With same right he could have argued that there are more even than odd> non-negative integers, because 0 is even and after every odd integer> there follwos an even one, just overlooking that after every even> integer there follows an odd one.